6 points (Rosen 8.2.8) A model for the number of lobsters caught per year is based on the assumption that the number of lobsters caught in a year is the average of the number caught in the two previous years. (a) Find a recurrence relation for {Ln) where Ln is the number of lobsters caught in year n under the assumptions of this model. (b) Find Ln if 100,000 lobsters were caught in year 1 and 300,000 were caught in year 2